On the Chapman-Jouguet limit for a combustion model

被引：5

作者：

Hanouzet, B ^{[1
]}

Natalini, R

Tesei, A

机构：

[1] Univ Bordeaux 1, Dept Math Appl, F-33405 Talence, France

[2] CNR, Ist Applicaz Calcolo M Picone, I-00161 Rome, Italy

[3] Univ Rome La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1998年 / 29卷 / 03期

关键词：

small combustion; detonation; deflagration; Chapman-Jouguet limit; conservation laws with source; shock waves;

D O I：

10.1137/S0036141096299351

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the limiting behavior of solutions to a simple model for combustion waves when the reaction rate tends to infinity. First we establish strong convergence for locally uniformly bounded sequences of solutions. Next we show the uniform boundedness with respect to the reaction rate of piecewise smooth solutions, both for detonation and for deflagration waves.

引用

页码：619 / 636

页数：18

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